17/81 added to 214/4 in Fraction Form

The result of 17/81 added to 214/4 is: 53 115/162

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1781 and 2144.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 4 is 324.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1781 to 68324
Convert 2144 to 17334324

Step 4: Add the Numerators

Add the numerators: 68 + 17334 = 17402

Step 5: Simplify the Fraction

We can simplify 17402324 to its lowest form.
The greatest common divisor (GCD) of 17402 and 324 is 2.
Dividing both numerator and denominator by the GCD, we get 8701162.

Step 6: Convert to Mixed Number

The fraction 8701162 can be written as the mixed number 53115162.

Final Answer

The result of 17/81 added to 214/4 is:

1781+2144=53115162

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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